Base plans

Learning Objectives Define a base plan as a top-down scale drawing. Interpret the scale of a base plan, including ratios and unit conversions. Calculate real-world dimensions (length, width) from a base plan using its given scale. Calculate the real-world area and perimeter of spaces shown on a base plan. Convert real-world dimensions into appropriate plan dimensions for a given scale. Apply proportional reasoning to solve problems involving base plans and scale. Understand how area scales differently than linear dimensions on a base plan. Have you ever looked at a map or a blueprint for a house? 🗺️ How do architects fit an entire building onto a piece of paper? In this lesson, you'll learn about 'base plans,' which are special types of scale drawings that...

TermDefinitionExample Base PlanA base plan is a two-dimensional (2D) drawing that represents the top-down view of a three-dimensional (3D) object or space, like a room, a building, or a garden. It shows the layout and dimensions from above.A floor plan of a house showing the arrangement of rooms, walls, and doors from an aerial perspective. Scale DrawingA drawing that shows a real object with accurate sizes reduced or enlarged by a certain amount (the scale). All parts of the drawing are in proportion to the real object.A map where 1 inch represents 100 miles, or a model airplane that is a smaller, proportional version of a real plane. ScaleThe ratio that compares the measurements on a drawing or model to the actual measurements of the real object. It tells you how much the drawing has be...

Calculating Real-World Length from Plan \text{Real-World Length} = \text{Plan Length} \times \left(\frac{\text{Real-World Unit Value}}{\text{Plan Unit Value}}\right) To find the actual length of an object or space, multiply its length on the plan by the real-world value represented by one unit on the plan. Ensure units are consistent or convert as needed. Calculating Plan Length from Real-World \text{Plan Length} = \text{Real-World Length} \div \left(\frac{\text{Real-World Unit Value}}{\text{Plan Unit Value}}\right) To find how long an object should be drawn on a plan, divide its actual length by the real-world value represented by one unit on the plan. This is useful when creating a base plan. Calculating Real-World Area from Plan Dimensions \text{Real-World Area} = (...